representing Linear functions Today’s Lesson: What: representing Linear functions Why: . . . so I can make connections among the four ways to represent a function. How: . . . by taking accurate notes, participating in ALL practice activities, and completing my homework. Input Output

How are all 4 representations related?

Do you remember the 4 ways to represent a function??: 1 As an ____________ y = 2x + 3 Equation “y is equal to ------------------------- ---------------------” 2 With words two times a number plus three. x y 1 2 3 3 As a __________ 3 Table Now, plot the points! 5 7 9 4 As a graph

“y is equal to the product of two and a number, let’s tie it all together . . . From an equation . . . Equation Words 1) y = 2x -1 Table Graph “y is equal to the product of two and a number, minus one.” m = 𝟐 𝟏 b = -1 x y -1 1 1 2 3 3 5

“y is equal to three more than a number.” From words . . . Equation Words 2) “y is equal to three more than a number.” Table Graph y = x + 3 You could use y= mx + b to graph OR you could create the table by choosing inputs and plugging in . . . x y 3 1 4 2 Now, plot the points! 5 3 6

“y is equal to negative 2 times a number, From a table . . . Equation Words 3) Table Graph y = -2x + 6 “y is equal to negative 2 times a number, plus six.” Magic Number . . . x y 6 1 4 2 3

more than negative 2 times a number.” From a graph . . . Equation Words 4) Table Graph y = -2x + 4 “y is equal to four more than negative 2 times a number.” m = −𝟐 𝟏 b = 4 x y 4 1 2 2 3 -2

Wrap-it-up/summary: 1) How are all 4 representations related? All 4 representations are related because they represent different ways to express the SAME relationship. They all represent the SAME function!

Finish worksheet (front and back). homework Finish worksheet (front and back).

END OF LESSON